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Finding the Fourth Proportional to 56,262.64, 77,642.24 and 31,112.14

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Solution

The fourth proportional to 56,262.64, 77,642.24 and 31,112.14 is: 42,934.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,262.64 : 77,642.24 = 31,112.14 : x
  2. Step 2: Convert to fraction form
    56,262.64/77,642.24 = 31,112.14/x
  3. Step 3: Cross multiply
    56,262.64x = 77,642.24 × 31,112.14
  4. Step 4: Simplify right side
    56,262.64x = 2,415,616,240.79
  5. Step 5: Solve for x
    x = 2,415,616,240.79/56,262.64
  6. Step 6: Final answer
    x = 42,934.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.